Pleaseeeee

[tawny bridge]

can someone help me with the number 8 and 9 sorry if that's too much but it's already late and I'm feeling sleepy and yeah i need the working solutions

[sullen relic]

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[cursive chasm]

Bring the constant to the left side, factor, then use the method of intervals. Works for both 8 and 9.

[tawny bridge]

can i know what is interval notation

[cursive chasm]

For example, 1 < x ≤ 2 in interval notation would be x ∈ (1, 2].

[tawny bridge]

ouhh

waittt can you check my answer for the first question

i want to understand it

so for 8a the answer should be x€ 1?

i didn't find the e symbol

x ∈ [1]

am i right?

[cursive chasm]

No. All the equations here don't have isolated points as solutions. Their solutions are sets.

[tawny bridge]

oh no I don't understand anything you said

because I'm actually new in english

before this i use bahasa melayu

[cursive chasm]

English isn't my native language, either.
Can you solve the inequalities and write the solution in one way or another? We can convert it to interval notation after that.

[tawny bridge]

that's why i didn't understand what even the question wants

after i factor it i get (x+1) (x-1)

[cursive chasm]

Right. And how do you solve (x - 1)(x + 1) > 0?

[tawny bridge]

x² -1

x²-1 > 0

[cursive chasm]

No, why open the brackets? You just factored it.

[tawny bridge]

ouhh

hurrmm

so i need to use method of intervals?

[cursive chasm]

Yes.

[tawny bridge]

-1<x<1

is that right

-1≤x≤1

ouuuuhhh waittt

i think i get it

(-1,1)

is this the right answer

[cursive chasm]

No. That would be the answer for x^2 < 1.

[tawny bridge]

ouhh

so (1,-1)

do i get it wrong again?

[cursive chasm]

Well, that doesn't make sense. The right boundary of an interval can't be smaller than the left one.

[tawny bridge]

ouhh

let me solve it again

[cursive chasm]

Can you show the intervals you've drawn?

[tawny bridge]

ouhh

there should be infinity in my answer right?

so the answer should be (-8,-1) U (1,8)

8 = infinity

[cursive chasm]

Yeah, nice!

So, x ∈ (-∞, -1)⋃(1, +∞).

Alright, so now try doing the other ones similarly.

[tawny bridge]

YESSS FINAALLYY

i get it

x ∈ [-7,7]

this is the answer for 8b

am i right?

[cursive chasm]

Yes.

[tawny bridge]

THANK YOUUU

i finally get it

[cursive chasm]

Great!

[tawny bridge]

ur really a lifesaver

[cursive chasm]

Thanks!
Now, (8) is pretty easy. Finish it, then try doing (9).

It's a little more difficult, but the approach is almost the same.

[tawny bridge]

now i can complete my homework

i will try it

thanks👍

[cursive chasm]

You're welcome!

[tawny bridge]

+close